describes the unidirectional propagation of shallow water waves over
a flat bottom [1]}, [2]}. It is completely integrable [3]} and
admits, in addition to smooth waves, a multitude of travelling wave
solutions with singularities: peakons, cuspons, stumpons and
composite waves [2]}-[5]}. The solitary waves of
Eq.(REF ) are smooth if \(\kappa >0\)  and peaked if \(\kappa =0\) 
[2]}, [7]}. Its solitary waves are stable solitons [8]}, [9]},
retaining their shape and form after interactions [10]}. It
models wave breaking [11]}-[12]}.
